Are rolled oats as in quaker oats the same thing as oat bran?

No.

Oat Bran, Rolled Oats, Oatmeal

These are steamed, rolled and flaked. Oat bran is the outer casing of the oat and is high in soluble fiber. They cook quickly (5-7 minutes) and are easily and quickly digested. Oat bran helps lower blood cholesterol levels because of their fiber content.

Quaker Oats

Note that generic or any brand names (like Quaker) will not make any difference. The quicker the cooking time the less nutrition because they mill the oat into fine thing. The generic brands are usually much cheaper, and there is no difference in taste.

Rolled oats is whole grain that we use to make porridge whereas bran is much coarser and used to make biscuits. Good luck. God bless. Gladgran.